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The orienteering problem is a well-studied and fundamental problem in transportation science. In the problem, we are given a graph with prizes on the nodes and lengths on the edges, together with a budget on the overall tour length. The…

Optimization and Control · Mathematics 2024-07-04 Eduardo Álvarez-Miranda , Markus Sinnl , Kübra Tanınmış

The vulnerability of machine learning models to adversarial attacks has been attracting considerable attention in recent years. Most existing studies focus on the behavior of stand-alone single-agent learners. In comparison, this work…

Machine Learning · Computer Science 2025-05-13 Ying Cao , Elsa Rizk , Stefan Vlaski , Ali H. Sayed

Deep learning on graph structures has shown exciting results in various applications. However, few attentions have been paid to the robustness of such models, in contrast to numerous research work for image or text adversarial attack and…

Machine Learning · Computer Science 2018-06-08 Hanjun Dai , Hui Li , Tian Tian , Xin Huang , Lin Wang , Jun Zhu , Le Song

We study the multi-agent Smoothed Online Convex Optimization (SOCO) problem, where $N$ agents interact through a communication graph. In each round, each agent $i$ receives a strongly convex hitting cost function $f^i_t$ in an online…

Optimization and Control · Mathematics 2025-01-31 Neelkamal Bhuyan , Debankur Mukherjee , Adam Wierman

We revisit the problem of solving two-player zero-sum games in the decentralized setting. We propose a simple algorithmic framework that simultaneously achieves the best rates for honest regret as well as adversarial regret, and in addition…

Computer Science and Game Theory · Computer Science 2018-06-07 Ehsan Asadi Kangarshahi , Ya-Ping Hsieh , Mehmet Fatih Sahin , Volkan Cevher

Differential game theory offers an approach for modeling interactions between two or more agents that occur in continuous time. The goal of each agent is to optimize its objective cost functional. In this paper, we present two different…

Optimization and Control · Mathematics 2025-07-04 Craig Bakker , Adam T. Rupe , Alexander Von Moll , Adam R. Gerlach

Deep neural networks (DNNs) have achieved significant performance in various tasks. However, recent studies have shown that DNNs can be easily fooled by small perturbation on the input, called adversarial attacks. As the extensions of DNNs…

Machine Learning · Computer Science 2020-12-15 Wei Jin , Yaxin Li , Han Xu , Yiqi Wang , Shuiwang Ji , Charu Aggarwal , Jiliang Tang

In this paper, we study a Target-Attacker-Defender (TAD) differential game involving one attacker, one target and multiple defenders. We consider two variations where (a) the attacker and the target have unlimited observation range and the…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Sharad Kumar Singh , Puduru Viswanadha Reddy

Graph deep learning models, such as graph convolutional networks (GCN) achieve remarkable performance for tasks on graph data. Similar to other types of deep models, graph deep learning models often suffer from adversarial attacks. However,…

Machine Learning · Computer Science 2019-05-23 Huijun Wu , Chen Wang , Yuriy Tyshetskiy , Andrew Docherty , Kai Lu , Liming Zhu

In adversarial patrolling games, a mobile Defender strives to discover intrusions at vulnerable targets initiated by an Attacker. The Attacker's utility is traditionally defined as the probability of completing an attack, possibly weighted…

Multiagent Systems · Computer Science 2022-02-03 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák

The deduction game is a variation of the game of cops and robber on graphs in which searchers must capture an invisible evader in at most one move. Searchers know each others' initial locations, but can only communicate if they are on the…

Combinatorics · Mathematics 2024-12-24 Andrea Burgess , Danny Dyer , Mozhgan Farahani

Motivated by recent works addressing adversarial attacks on deep reinforcement learning, a deception attack on linear quadratic Gaussian control is studied in this paper. In the considered attack model, the adversary can manipulate the…

Systems and Control · Electrical Eng. & Systems 2020-09-11 Zuxing Li , György Dán , Dong Liu

Desensitization addresses safe optimal planning under parametric uncertainties by providing sensitivity function-based risk estimates. This paper expands upon the existing work on desensitization in optimal control to address safe planning…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Vinodhini Comandur , Tulasi Ram Vechalapu , Venkata Ramana Makkapati , Panagiotis Tsiotras , Seth Hutchinson

Two-player games on graphs provide the theoretical frame- work for many important problems such as reactive synthesis. While the traditional study of two-player zero-sum games has been extended to multi-player games with several notions of…

Computer Science and Game Theory · Computer Science 2013-11-14 Krishnendu Chatterjee , Laurent Doyen , Emmanuel Filiot , Jean-François Raskin

This paper studies a stochastic dynamic game between two competing teams, each consisting of a network of collaborating agents. Unlike fully cooperative settings, where all agents share a common objective, each team in this game aims to…

Multiagent Systems · Computer Science 2025-04-29 Yike Zhao , Haoyuan Cai , Ali H. Sayed

In this paper, we consider a differential stochastic zero-sum game in which two players intervene by adopting impulse controls in a finite time horizon. We provide a numerical solution as an approximation of the value function, which turns…

Optimization and Control · Mathematics 2024-10-14 Antoine Zolome , Brahim El Asri

In routing games, agents pick their routes through a network to minimize their own delay. A primary concern for the network designer in routing games is the average agent delay at equilibrium. A number of methods to control this average…

Computer Science and Game Theory · Computer Science 2013-11-12 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman

This paper studies a class of approach-evasion differential games, in which one player aims to steer the state of a dynamic system to the given target set in minimum time, while avoiding some set of disallowed states, and the other player…

Optimization and Control · Mathematics 2013-10-01 Erich Mueller , Minghui Zhu , Sertac Karaman , Emilio Frazzoli

Can deception exist in differential games? We provide a case study for a Turret-Attacker differential game, where two Attackers seek to score points by reaching a target region while a Turret tries to minimize the score by aligning itself…

Computer Science and Game Theory · Computer Science 2024-05-14 Daigo Shishika , Alexander Von Moll , Dipankar Maity , Michael Dorothy

Centered around solving the Online Saddle Point problem, this paper introduces the Online Convex-Concave Optimization (OCCO) framework, which involves a sequence of two-player time-varying convex-concave games. We propose the generalized…

Machine Learning · Computer Science 2023-12-18 Qing-xin Meng , Jian-wei Liu
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